Least Common Multiple of 68/82, 34/36, 29/92, 132/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/82, 34/36, 29/92, 132/18 quickly i.e. 32538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/82, 34/36, 29/92, 132/18 is 32538.

LCM(68/82, 34/36, 29/92, 132/18) = 32538

LCM of 68/82, 34/36, 29/92, 132/18

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 68/82,34/36,29/92,132/18

Given numbers are 68/82,34/36,29/92,132/18

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 68,34,29,132

Least Common Multiple of Numerators i.e. LCM of 68,34,29,132 is 65076.

GCF of Denominators means GCF of 82,36,92,18 as per the given fractions.

GCF of 82,36,92,18 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,34,29,132

LCM of Fractions 68/82,34/36,29/92,132/18 is 32538

2 68, 34, 29, 132
2 34, 17, 29, 66
17 17, 17, 29, 33
1, 1, 29, 33

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 1 x 29 x 33 = 65076

Least Common Multiple of 68,34,29,132 with GCF Formula

Least Common Multiple of 68,34,29,132 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 68,34,29,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,34,29,132) = 1

common factors(in case of two or more numbers have common factors) = 136

GCF(68,34,29,132) x common factors =1 x 136 = 136

LCM(68,34,29,132) = ( 68 × 34 × 29 × 132 ) / 136

LCM(68,34,29,132) = 8850336 / 136

LCM(68,34,29,132) = 65076


Lets's calculate GCF of 82,36,92,18

2 82, 36, 92, 18
41, 18, 46, 9

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65076/2

Therefore the LCM of Fractions 68/82,34/36,29/92,132/18 is 32538

Greatest Common Factor of 82,36,92,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,36,92,18 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 82,36,92,18 . The biggest common factor number is the GCF number.
So the greatest common factor 82,36,92,18 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 68/82, 34/36, 29/92, 132/18

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 68/82, 34/36, 29/92, 132/18?

Answer: LCM of Numerators as per given numbers 68/82, 34/36, 29/92, 132/18 is

LCM of Numerators i.e. for 68,34,29,132 is 65076

GCF of denominators i.e. for 82,36,92,18 is 2.

Thus, LCM of Fractions is 32538.Finally, LCM of Fractions for 68/82, 34/36, 29/92, 132/18 is 32538.